From 456339193807524dcf0dbf8ad8dedead9ca2c2aa Mon Sep 17 00:00:00 2001 From: k-a-z-u Date: Tue, 5 Jun 2018 16:04:11 +0200 Subject: [PATCH] tex + gfx --- presentation/chapters/system.tex | 89 +++++++++++++++++++++++-- presentation/chapters/toni.tex | 4 +- presentation/gfx/dijkstra.pdf | Bin 0 -> 107346 bytes presentation/gfx/fingerprints.pdf | Bin 0 -> 17978 bytes presentation/gfx/importance.pdf | Bin 0 -> 121801 bytes presentation/gfx/opt.pdf | Bin 0 -> 53834 bytes presentation/gfx/plan1.pdf | Bin 0 -> 1556 bytes presentation/gfx/plan2.pdf | Bin 0 -> 3036 bytes presentation/gfx/wifiMultimodality.pdf | Bin 0 -> 18876 bytes presentation/presentation.tex | 4 ++ 10 files changed, 89 insertions(+), 8 deletions(-) create mode 100644 presentation/gfx/dijkstra.pdf create mode 100644 presentation/gfx/fingerprints.pdf create mode 100644 presentation/gfx/importance.pdf create mode 100644 presentation/gfx/opt.pdf create mode 100644 presentation/gfx/plan1.pdf create mode 100644 presentation/gfx/plan2.pdf create mode 100644 presentation/gfx/wifiMultimodality.pdf diff --git a/presentation/chapters/system.tex b/presentation/chapters/system.tex index c36da69..dfd5326 100644 --- a/presentation/chapters/system.tex +++ b/presentation/chapters/system.tex @@ -1,5 +1,18 @@ +\newcommand{\mPosAP}{\varrho} % char for access point position vector +\newcommand{\mPos}{\rho} % char for positions + + \newcommand{\mPosVec}{\vec{\mPos}} % position vector +\newcommand{\mRssi}{s} % client signal strength measurements \newcommand{\mRssiVec}{\vec{s}} % client signal strength measurements +\newcommand{\mRssiVecWiFi}{\vec{s}} % client signal strength measurements + +\newcommand{\mPLE}{\ensuremath{\gamma}} % path-loss exponent +\newcommand{\mTXP}{\ensuremath{P_0}} % tx-power +\newcommand{\mWAF}{\ensuremath{\beta}} % wall attenuation factor +\newcommand{\mGaussNoise}{\ensuremath{\mathcal{X}}} + +\newcommand{\mMdlDist}{\ensuremath{d}} % distance used within propagation models \newcommand{\mState}{q} % state variable \newcommand{\mStateVec}{\vec{q}} % state vector variable @@ -24,10 +37,22 @@ \newcommand{\R}{\mathbb{R}} %\newcommand{\N}{\mathbb{N}} -\begin{frame}[fragile] - \frametitle{System} - - %\includegraphics[width=4cm]{gfx/map1} + +\section{Indoor Lokalisierung} + + \subsection{Überblick} + \begin{frame}[fragile] + \frametitle{Indoor Lokalisierung} + + \begin{figure} + \centering + \includegraphics[width=\linewidth]{gfx/info_graphic} + \end{figure}% + + \end{frame} + + \begin{frame}[fragile] + \frametitle{Indoor Lokalisierung} \small @@ -73,7 +98,57 @@ p(\mStateVec_{t} \mid \mStateVec_{t-1}, \mObsVec_{t-1}) &= \text{Bewegungsmodell mit Zusatzwissen} \end{aligned} \end{equation*} - - -\end{frame} + \end{frame} + + \subsection{Bewegungsmodell} + \begin{frame}[fragile] + \frametitle{Bewegungsmodell}% $p(\mStateVec_{t} \mid \mStateVec_{t-1}, \mObsVec_{t-1})$ } + %\emph{Wo könnte ich in 10 Sekunden sein?} + + % + \centering\includegraphics<1>[height=6cm]{gfx/plan1.pdf}% + \centering\includegraphics<2>[height=6cm]{gfx/plan2.pdf}% + \centering\includegraphics<3>[height=6cm]{gfx/importance.pdf}% + \centering\includegraphics<4>[height=6cm]{gfx/dijkstra.pdf}% + \centering\includegraphics<5>[height=6cm]{gfx/map1}% + + + \end{frame} + + \subsection{Sensorik} + \begin{frame}[fragile] + \frametitle{Sensorik - Wi-Fi} + + \begin{equation*} + p(\vec{o}_t \mid \vec{q}_t)_\text{wifi} = + p(\mRssiVecWiFi \mid \mPosVec) = + \prod_{\mRssi_{i} \in \mRssiVec{}} p(\mRssi_{i} \mid \mPosVec) + \footnote{\tiny Annahme: Messungen von Access-Points sind statistisch unabhängig} + ,\enskip + %\mPos = (x,y,z)^T + \mPosVec \in \R^3 + %\label{eq:wifiObs} + \end{equation*} + % + \begin{equation*} + p(\mRssi_i \mid \mPosVec) = + \mathcal{N}(\mRssi_i \mid \mu_{i,\mPosVec}, \sigma_{i,\mPosVec}^2) + %\label{eq:wifiProb} + \end{equation*} + % + \begin{equation*} + \mRssi = {\mTXP{}} - 10 \mPLE{} + \log_{10} \frac{d}{d_0} + n \beta + \mGaussNoise{} + %\label{eq:logDistModel} + \end{equation*} + + \includegraphics[width=4.5cm]{gfx/fingerprints.pdf} + \includegraphics[width=4.5cm]{gfx/opt.pdf} + \includegraphics[width=4.5cm]{gfx/wifiMultimodality.pdf} + + \end{frame} + + + + + diff --git a/presentation/chapters/toni.tex b/presentation/chapters/toni.tex index 93d6e9c..b611b58 100644 --- a/presentation/chapters/toni.tex +++ b/presentation/chapters/toni.tex @@ -16,8 +16,10 @@ \end{frame} +\subsection{Smoothing} + \begin{frame}[fragile] - \frametitle{Indoor Localisation System} + \frametitle{Indoor Localization System} \begin{figure} \centering diff --git a/presentation/gfx/dijkstra.pdf b/presentation/gfx/dijkstra.pdf new file mode 100644 index 0000000000000000000000000000000000000000..663cb5a34aa1ccfc8d1c30d123caed4482e1604b GIT binary patch literal 107346 zcmW(cWk4KF&&Az~+u`o^pm#`d=dj{V(W1pUq_`X|#ht@j+$k=_9SX(W-9O&%Pd1y` zNivy?Cd;5MBg?_VDS*z+-(8;?<7rh006)x`^CZC 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%\input{chapters/examples.tex} + \tableofcontents + \input{chapters/bib} \input{chapters/achievements}